非牛顿流体在环管内的不定常旋转流

Unsteady Rotative Flow of Non-Newtonian Fluid In an Annular Pipe

本文研究幂律非牛顿流体在环管内的不定常旋转流。该方程是一非线性方程，在部分因子的稳态近似假设之下，方程被线性化，用Ｌａｐｌａｃｅ积分变换法我们获得了问题的解。文中给出了几组解曲线，它反映了角向速度的时间演化规律与空间分布特征。另外我们专门研究了幂律指数对流场的影响，该参数的敏感性具有一定的数值界限。这一结果，在有关的工程设计中具有重要的意义。

This paper studies power law non-Newtonian fluid relative flow in an annular pipe.The governing equation is nonlinear one. We linearized the governing equa-tion by assuming that partial facter is at steady state. With Laplace transform we obtain an analytical solution of the problem. In the paper,several groups of curves are given;these curves reflect the temporal change law and spatial distri-bution of fluid velocity.In addition,we study the effection of power law index on the flow field. The result indicates that when the power law index n<1,theflow velocity is highly sensitive to the index, and this fact is important in re-lated engineering decisions.